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Authors: Wenjun Ma ; Jieyu Zhan and Yuncheng Jiang

Affiliation: Guangzhou Key Laboratory of Big Data and Intelligent Education, School of Computer Science, South China Normal University, Guangzhou, China

Keyword(s): D-S Theory of Evidence, Conflict Management, Essential Conflict, Information Fusion.

Abstract: Dempster’s combination rule in Dempster-Shafer (D-S) theory is widely used in data mining, machine learning, clustering and database systems. In these applications, the counter-intuitive result is often obtained with this rule when the combination of mass function is performed without checking whether original beliefs are in conflict. In this paper, a new type of conflict called essential conflict has been revealed with two characteristics: (i) it is an essential factor that leading to the counter-intuitive result by turning a possible state into a necessary true state or an impossible state; (ii) it cannot be corrected by the combination process of any new mass functions. After showing that the existing conflict measurements in D-S theory have the limitations to address the essential conflict and presenting a formalism about the concept of essential conflict, we propose a measurement of essential conflict between two mass functions based on the mass value and the intersection relati on of their focal elements. We argue that if there exists a focal element of one mass function, such that the intersection of it and any focal element of another mass function is an empty set, then the essential conflict is caused and Dempster’s combination rule is not applicable. (More)

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Paper citation in several formats:
Ma, W.; Zhan, J. and Jiang, Y. (2021). A Measurement for Essential Conflict in Dempster-Shafer Theory. In Proceedings of the 13th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART; ISBN 978-989-758-484-8; ISSN 2184-433X, SciTePress, pages 1282-1289. DOI: 10.5220/0010394512821289

@conference{icaart21,
author={Wenjun Ma. and Jieyu Zhan. and Yuncheng Jiang.},
title={A Measurement for Essential Conflict in Dempster-Shafer Theory},
booktitle={Proceedings of the 13th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART},
year={2021},
pages={1282-1289},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010394512821289},
isbn={978-989-758-484-8},
issn={2184-433X},
}

TY - CONF

JO - Proceedings of the 13th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART
TI - A Measurement for Essential Conflict in Dempster-Shafer Theory
SN - 978-989-758-484-8
IS - 2184-433X
AU - Ma, W.
AU - Zhan, J.
AU - Jiang, Y.
PY - 2021
SP - 1282
EP - 1289
DO - 10.5220/0010394512821289
PB - SciTePress